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Determine the values o m for which equat...

Determine the values o `m` for which equations `3x^2+4m x+2=0a n d2x^2+3x-2=0` may have a common root.

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If z1, z2, z3 are distinct nonzero complex numbers and a ,b , c in R...

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  2. If |z1|=15 and |z2-3-4i|=5,t h e n

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  3. Determine the values o m for which equations 3x^2+4m x+2=0a n d2x^2+3x...

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  4. If z=((sqrt(3)+i)^(17))/((1-i)^(50)) , then find a m p(z)dot

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  5. A rectangle of maximum area is inscribed in the circle |z-3-4i|=1. If ...

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  6. If alpha,beta are the roots of the equation a x^2+b x+c=0, then find t...

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  7. If (3pi)/2 < alpha < 2pi then the modulus argument of (1+cos 2alpha)+i...

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  8. The value of z satisfying the equation logz+logz^2+dot+logz^n=0 i s ...

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  9. If the difference between the roots of the equation x^2+a x+1=0 is les...

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  10. find the differtiation of (i) tan(secx) (ii) sin(tanx)

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  11. Roots of the equation are (z+1)^5=(z-1)^5 are (a) +-itan(pi/5),+-ita...

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  12. Find the value of a for which one root of the quadratic equation (a^2-...

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  13. If |z1-z0|=|z2-z0|=a and amp((z2-z0)/(z0-z1))=pi/2 , then find z0

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  14. Which of the following represents a points in an Argand pane, equidi...

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  15. If the harmonic mean between roots of (5+sqrt(2))x^2-b x+8+2sqrt(5)=0i...

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  16. If n in N >1 , then the sum of real part of roots of z^n=(z+1)^n is...

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  17. If z1, z2, z3, z4 are the affixes of four point in the Argand plane, z...

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  18. Find the values of the parameter a such that the rots alpha,beta of ...

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  19. Solve the equation z^3= z (z!=0)dot

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  20. If z=omega,omega^2 where omega is a non-real complex cube root of unit...

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